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|Title:||Periodic solutions for a class of reaction-diffusion equations with p-Laplacian|
|Authors:||Pang, P.Y.H. |
|Source:||Pang, P.Y.H., Wang, Y., Yin, J. (2010-02). Periodic solutions for a class of reaction-diffusion equations with p-Laplacian. Nonlinear Analysis: Real World Applications 11 (1) : 323-331. ScholarBank@NUS Repository. https://doi.org/10.1016/j.nonrwa.2008.11.006|
|Abstract:||In this paper we study non-trivial, non-negative periodic solutions of certain periodic reaction-diffusion equations with the p-Laplacian under the homogeneous Dirichlet boundary condition. First, we prove the existence of such periodic solutions, and provide a priori estimates for their upper bound using Moser iteration. We also show that the support of these solutions is independent of time. Further, we establish the attractivity of maximal periodic solutions using the monotonicity method. One of our motivations is a generalized Verhulst model with time-periodicity and nonlinear diffusion in a bounded heterogeneous environment. © 2008 Elsevier Ltd. All rights reserved.|
|Source Title:||Nonlinear Analysis: Real World Applications|
|Appears in Collections:||Staff Publications|
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